Unbounded perturbation of the controllability for evolution equations
type: Item
instance of: scholarly article
title: Unbounded perturbation of the controllability for evolution equations
zbMATH Open document ID: 1032.34063
DOI: 10.1016/S0022-247X(02)00317-7
author: Hugo Leiva
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: Consider the system \[ y'(t) = (A + P)y(t) + B(t)u(t), \] where \(A\) is the infinitesimal generator of a strongly continuous semigroup in a Banach space \(E\), \(t\to B(t)\) is continuous, \(B(t)\) is a linear bounded operator from \(U\) to \(E\) \((U\) is a second Banach space). The unperturbed system \((P = 0)\) is exactly controllable, and the author gives conditions on the perturbation \(P\) such that the exact controllability is preserved.
reviewed by: Hector O. Fattorini
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 1915600
zbMATH Keywords: exact controllability
zbMATH Keywords: unbounded perturbations
MaRDI profile type: Publication
cites work: Infinite dimensional linear systems theory
cites work: An Abstract Theory for Unbounded Control Action for Distributed Parameter Systems
cites work: Q4039882
cites work: Q5542360
full work available at URL: s0022-247x(02)00317-7
OpenAlex ID: W2013651048
description: scientific article; zbMATH DE number 1915600